Observation and description of changes in the world around us are the first steps in finding and learning about patterns.
Essential Question:
How can I visually explain situations where one thing changes based on another?
1. Imagine a situation in which variable y depends on variable x. If y increases as x increases, how would this be indicated on a table? In a graph? 1ans. On a table it will be shown as the x variable increases the y variable also increases. This will be shown on a graph in a same way but it will have points increase from the bottom-left hand corner to the top-right hand corner in a diagonal line.
2.If variable y decreases as variable x increases, how would this be indicated in a table? A graph?
2ans. On a table as the x variable increases the y variable decreases. This will be shown on a graph in a same way but it will have points decrease from the top-left hand corner to the bottom-left hand corner.
3.In a coordinate graph of two related variables, when do points lie in a straight line?
3ans. The points on a coordinate graph stay in a straight line when one of the variables is neither increasing or decreasing.
4. In a coordinate graph of two related variables, when is it appropriate to connect the points?
4ans. It is appropriate to connect the points between two related variables when it is continuous.
9/25/10
Big Idea:
Observation and description of changes in the world around us are the first steps in finding and learning about patterns.
Essential Question:
How can I visually explain situations where one thing changes based on another?
1. Imagine a situation in which variable y depends on variable x. If y increases as x increases, how would this be indicated on a table? In a graph?1ans. On a table it will be shown as the x variable increases the y variable also increases. This will be shown on a graph in a same way but it will have points increase from the bottom-left hand corner to the top-right hand corner in a diagonal line.
2. If variable y decreases as variable x increases, how would this be indicated in a table? A graph?
2ans. On a table as the x variable increases the y variable decreases. This will be shown on a graph in a same way but it will have points decrease from the top-left hand corner to the bottom-left hand corner.
3. In a coordinate graph of two related variables, when do points lie in a straight line?
3ans. The points on a coordinate graph stay in a straight line when one of the variables is neither increasing or decreasing.
4. In a coordinate graph of two related variables, when is it appropriate to connect the points?
4ans. It is appropriate to connect the points between two related variables when it is continuous.